Inequality and interval notation, Algebra

Solving the following inequalities.  Give both inequality and interval notation forms of the solution.

-2 ( m - 3) < 5 ( m + 1) -12

Solution

Solving out single linear inequalities follow pretty much the similar process for solving linear equations.  We will simplify both of the sides, get all the terms along with the variable on one side & the numbers on the other side, & then multiply/divide both of sides through the coefficient of the variable to obtain the solution.  The one thing which you've got to recall is that if you multiply/divide by a negative number then switches the direction of the inequality.

 -2 ( m - 3) < 5 ( m + 1) -12

Really there isn't much to do here other than follow the procedure outlined above.

-2 (m - 3) < 5 ( m + 1) -12

-2m + 6 < 5m + 5 -12

-7m < -13

   m < 13/ 7

 

You did notice the fact that the direction of the inequality vary here didn't you? We divided by a "-7" and thus we had to change the direction. The inequality form of the solution is m > 7.

The interval notation for this solution is, ( 13/ 7, ∞ ) .

Posted Date: 4/6/2013 5:24:17 AM | Location : United States







Related Discussions:- Inequality and interval notation, Assignment Help, Ask Question on Inequality and interval notation, Get Answer, Expert's Help, Inequality and interval notation Discussions

Write discussion on Inequality and interval notation
Your posts are moderated
Related Questions
Graph each equation, and determine the domain and range. determine whether the equation is a function.

Sketch the graph parabolas. f (x ) = 2 ( x + 3) 2   - 8 Solution In all of these we will just go through the procedure given above to determine the required points and t

m?1=m?2 m?2=75 m?1=75

REENA HAS PENS AND PENCILS WHICH TOGETHER ARE 40 IN NUMBER.IF SHE HAS 5 MORE PENCILS AND 5 LESS PENS,THEN THE NUMBER PENCILS WOULD BECOME 4 TIMES THE NUMBER OF PENS.FIND THE ORIGIN

Achieve $225,500 at 8.75% compounded continuously for 8 years, 155 days

Given,                   Evaluate g(6). Solution Before beginning the evaluations here let's think that we're using different letters for the function & variable

Using synthetic division do following  divisions. Divide 2x 3 - 3x - 5  by x + 2 Solution Okay in this case we have to be a little careful here. We have to divide by a


Alice bought a round-trip ticket to fly from Baltimore to Chicago on SuperAir for $250. That was $16 more than she would have on Jet Airlines, which only offered a one-way fair. Ho

Thirty percent of the students in a mathematics class received an “A.” If 18 students received an “A,” which of the following represents the number of students in the class?